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Finding the Fourth Proportional to 231,131.65, 319,059.91 and 140,516.55

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Solution

The fourth proportional to 231,131.65, 319,059.91 and 140,516.55 is: 193,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,131.65 : 319,059.91 = 140,516.55 : x
  2. Step 2: Convert to fraction form
    231,131.65/319,059.91 = 140,516.55/x
  3. Step 3: Cross multiply
    231,131.65x = 319,059.91 × 140,516.55
  4. Step 4: Simplify right side
    231,131.65x = 44,833,195,498.63
  5. Step 5: Solve for x
    x = 44,833,195,498.63/231,131.65
  6. Step 6: Final answer
    x = 193,972.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.